Honorable Mention: Naruto Shippuden.
Okay, let me explain that. I honestly really liked almost all of Naruto. And I also liked the early part of Shippuden. But then with the seemingly interminable filler and then non-filler that I found boring, well I continued to watch but I didn't really look forward to it. However, with the more recent episodes bringing more focus on the core characters we cared about in Naruto, I'm starting to care again, so am once again enjoying the series (at least briefly).

There wasn't anything outstanding in the new Winter 2013 shows I watched, but here's how I'd rank the 11 I finished/ am watching to completion:

New in Winter 2013 Best (in that I've been pretty interested in watching the next episode):1. Kotoura-san2. AmnesiaTied for 3rd:
Ishida and Asakura
Student Council's Discretion Level 24. Cuticle Detective Inaba

New in Winter 2013 Lukewarm (I mostly kept watching them because by the time I decided I really wasn't that interested there were few enough episodes left that I just kept watching. I enjoyed them moderately well while I was watching them, but I never particularly looked forward to watching them.):5. Oreshura6. GJ Club7. Encouragement of ClimbTied for 8th:
Hakkenden: Eight Dogs of the East
Maoyu
Boku no Imōto wa "Ōsaka Okan"

These were all on CR. Now that it's easier to watch Funi stuff on Roku, I expect I'll be sampling a few simulcasts from there as well for Spring 2013.